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Finding the Fourth Proportional to 77.84, 106.48 and 76.80

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Solution

The fourth proportional to 77.84, 106.48 and 76.80 is: 105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.84 : 106.48 = 76.80 : x
  2. Step 2: Convert to fraction form
    77.84/106.48 = 76.80/x
  3. Step 3: Cross multiply
    77.84x = 106.48 × 76.80
  4. Step 4: Simplify right side
    77.84x = 8,177.66
  5. Step 5: Solve for x
    x = 8,177.66/77.84
  6. Step 6: Final answer
    x = 105.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.